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sesenic [268]
3 years ago
9

Need Help ASAP!!!

Mathematics
2 answers:
Blababa [14]3 years ago
7 0

Answer:

Steps:

isolate " x "  for -2x + 2y  + 3z  = 0 ;    x = -  ( - 3z - 2y ) / 2

Subsititute : x = -  ( - 3z - 2y ) / 2

- 2 * (  - ( - 3z - 2y ) / 2 ) - y + z = - 3

2 * ( -  ( - 3z - 2y ) / 2 ) + 3y  + 3z  =5

isolate " z " for  :  - 2  ( -  ( - 3z - 2y ) / 2 ) - y+ z = - 3 ;  z = - ( - 3 +  3y / 2 )

subsititute  z = - ( - 3 + 3y / 2 ) :

2* ( - ( -3* ( - ( - 3 +3y / 2 ) - 2y / 2  ) + 3y  + 3  ( - ( - 3 + 3y / 2 ) = 5

isolate y for 2 ( -( - 3 ) - 3 + 3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5

y = 1

for z =  - ( - 3+ 3y ) / 2

subsititute y = 1

z = - ( - 3 + 3  * 1 ) / 2

z =  0

For x  = - ( - 3z - 2y ) / 2

subsititute y = 1

subsititute z = 0

x = -  ( - 3 *0 - 2 * 1 ) / 2

x =  1

x = 1  , y =  1  , z = 0

Hitman42 [59]3 years ago
4 0

Answer:

The answer to your question is:

x = 1

y = 1

z = 0

Step-by-step explanation:

                                -2x + 2y + 3z = 0             (1)

                                -2x - y + z = -3                  (2)

                                 2x + 3y + 3z = 5              (3)

Solve (1) and (2)  

Multiply 2 by 2

                                 -2x + 2y + 3z = 0

                                 -4x -2y   + 2z = -6

                                -6x          + 5 z = -6        (4)

Solve (2) and (3)

Multiply 2 by 3

                               -6x - 3y + 3z = -9

                                2x + 3y + 3z = 5

                               -4x         + 6z = -4           (5)

Solve (4) and (5)

Multiply (4) by 2 and (5) by -3

                           -12x    + 10 z = -12

                            12x    -  18z   = 12

                                         -6z = 0

                                          z = 0

Then

            -4x + 6(0) = -4

           -4x = -4

            x = -4/-4

            x = 1

Finally

                 -2(1) - y + (0) = -3      

                -2 - y = -3

                 -y = -3 + 2

                 y = 1  

   

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